Engineering Fundamentals: An Intro...
Solutions
Engineering Fundamentals: An Intro...
For Problem 19.33, determine the probability (assuming normal distribution) that a bottle would be filled with more than 495 milliliters.
Calculate the probability for that a bottle would be filled with more than 495 milliliters.
Given data:
The required values are shown in Table 1 with reference to the problem 19.33 in the textbook.
Formula used:
From equation 19.7 in the textbook, the formula to find mean for any sample is,
Here,
From equation 19.8 in the textbook, the formula to find standard deviation is,
The formula to find the z score is,
Here,
Calculation:
The calculation of terms in equation (1) is shown in Table 2
Here, the sum of the frequencies and the terms
The total number of water bottles is the sum of the frequency,
Substitute
The calculation of terms in equation (2) is shown in Table 3.
Chapter 19 Solutions
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